Hello Moo! I tried on the question with your advise and this is what I got so far! I am not sure if I am on the right track, but correct me if I am wrong! (:
For part (i)
According to the Chebyshev's inequality, if X has mean and variance, , then,From the question,For part (ii),By estimating p within 0.1 means we let ,Am I doing alright so far?
Hm, Central Limit Theorem says ...
Let be indepedent, identically distributed random variables with and , and let . Then,
Not really sure how to proceed from here!